SQP Methods for Inverse Airfoil Design

by Carlos Orozco, Pittsburgh Supercomputing Cent, Pittsburgh, United States,
Omar Ghattas, Pittsburgh Supercomputing Cent, Pittsburgh, United States,

Abstract: We consider inverse design problems of systems governed by suitable discretizations of a boundary value problem (BVP). We present and examine a Sequential Quadratic Programming (SQP) method tailored to such inverse problems. We employ a particular null space representation which exploits the structure of the constraint Jacobian. The resulting method avoids resolution of the nonlinear behavior for each design iterate. The method is used to solve an aerodynamic inverse design problem governed by nonlinear potential flow. Optimization problems with up to 90 shape design variables are solved. Numerical results demonstrate a substantial performance improvement over conventional methods.

Subject Headings: Computer programming | Nonlinear analysis | Boundary value problem | Potential flow | Numerical methods | System analysis | Space structures | Nonlinear response

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